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amelapal
 2 years ago
4 sin^4 x + 3sin^2 x  1 = 0
After I borrow the 4 I just don't know what to do afterwords..
amelapal
 2 years ago
4 sin^4 x + 3sin^2 x  1 = 0 After I borrow the 4 I just don't know what to do afterwords..

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Iamgmg90
 2 years ago
Best ResponseYou've already chosen the best response.1let sin^2x = u, substitute and solve as a quadratic? i.e 4u^2 + 3u  1 = (4u  1)(u + 1 ) so u = 1/4 or 1, therefore sin^2(x) = 1/4 or 1, use calculator

Iamgmg90
 2 years ago
Best ResponseYou've already chosen the best response.1sin^1(SQRT(1/4) = sin^1(1/2)

amelapal
 2 years ago
Best ResponseYou've already chosen the best response.0Can the quadratic formula be used if its to the 4th degree because I got the same thing, however I used factoring with borrow and payback.

ByteMe
 2 years ago
Best ResponseYou've already chosen the best response.1Yes... you can use the QF but I think factoring, as shown above is faster...

ByteMe
 2 years ago
Best ResponseYou've already chosen the best response.1Also, \(\large sin^2x=\frac{1}{4} \) gives \(\large sinx=\pm \frac{1}{2} \) so you'll need to solve sinx=1/2, and also sinx=1/2

Iamgmg90
 2 years ago
Best ResponseYou've already chosen the best response.1Oh, thanks. Yes square rooting yields both signs, as squaring makes positive (negative time negative). The 1 can be ignored as it would be a complex number

amelapal
 2 years ago
Best ResponseYou've already chosen the best response.0So the angles would be 30 and 150, and 210 and 330?

amelapal
 2 years ago
Best ResponseYou've already chosen the best response.0The other one would come up with i so is it okay to ignore it since it is complex?
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